the probability of getting a head on flipping a biased coin is p. the coin is flipped n times producing a sequence containing m heads and (n-m) tails what is the probability of obtaining this sequence from n flips.
i cant understand the wording
the probability of getting a head on flipping a biased coin is p. the coin is flipped n times producing a sequence containing m heads and (n-m) tails what is the probability of obtaining this sequence from n flips.
i cant understand the wording
Did you mean p^m rather than just p in your answer?
Going back to the question "the coin is flipped n times producing a sequence containing m heads and (n-m) tails". If this means "m heads and then (n-m) tails",
the answer in your book is correct. The nCm multiplier accounts for all the ways you can get m heads and (n-m) tails , ie in any order.
I would interpret "a sequence containing m heads and (n-m) tails" as meaning "in any order" eg HHHTT, HTHTH, THHHT all need to be accounted for.
I stick by my answer.